The function r(t) = (0, 5+ 3 cos (4t), 3 sin (4t)) traces a circle. Determine the radius, center, and plane containing the circle. (Use symbolic notation and fractions where needed.) radius: (Use symbolic notation and fractions where needed. Give your answer as the coordinates of a point in the form (* *, * ).) center: The circle lies in the xy-plane xz-plane yz-plane
The function r(t) = (0, 5+ 3 cos (4t), 3 sin (4t)) traces a circle. Determine the radius, center, and plane containing the circle. (Use symbolic notation and fractions where needed.) radius: (Use symbolic notation and fractions where needed. Give your answer as the coordinates of a point in the form (* *, * ).) center: The circle lies in the xy-plane xz-plane yz-plane
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The function **r(t) = ⟨0, 5 + 3 cos(4t), 3 sin(4t)⟩** traces a circle. Determine the radius, center, and plane containing the circle.
(Use symbolic notation and fractions where needed.)
**Radius:**
[Input box for radius]
(Use symbolic notation and fractions where needed. Give your answer as the coordinates of a point in the form (*, *, *).)
**Center:**
[Input box for center]
**The circle lies in the**
- [ ] xy-plane
- [ ] xz-plane
- [x] yz-plane](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64ebbea4-06b3-4626-928e-998a3c25a685%2F0e0cd996-752d-4f8c-bd00-f2004ec17b78%2Fmq22oxr_processed.png&w=3840&q=75)
Transcribed Image Text:The function **r(t) = ⟨0, 5 + 3 cos(4t), 3 sin(4t)⟩** traces a circle. Determine the radius, center, and plane containing the circle.
(Use symbolic notation and fractions where needed.)
**Radius:**
[Input box for radius]
(Use symbolic notation and fractions where needed. Give your answer as the coordinates of a point in the form (*, *, *).)
**Center:**
[Input box for center]
**The circle lies in the**
- [ ] xy-plane
- [ ] xz-plane
- [x] yz-plane
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